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2064745320 = 2335117122031
BaseRepresentation
bin111101100010001…
…1000001101101000
312022220011221002220
41323010120031220
513212033322240
6540514354040
7102111021441
oct17304301550
95286157086
102064745320
1196a5497a0
1249758b920
1326b9c61c1
141583102c8
15c14015d0
hex7b118368

2064745320 has 128 divisors (see below), whose sum is σ = 6852833280. Its totient is φ = 493472000.

The previous prime is 2064745283. The next prime is 2064745321. The reversal of 2064745320 is 235474602.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2064745321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82705 + ... + 104735.

It is an arithmetic number, because the mean of its divisors is an integer number (53537760).

Almost surely, 22064745320 is an apocalyptic number.

2064745320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064745320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426416640).

2064745320 is an abundant number, since it is smaller than the sum of its proper divisors (4788087960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2064745320 is a wasteful number, since it uses less digits than its factorization.

2064745320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22127 (or 22123 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2064745320 is about 45439.4687468945. The cubic root of 2064745320 is about 1273.3725887834.

The spelling of 2064745320 in words is "two billion, sixty-four million, seven hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1065 1320 1420 1562 1704 2130 2343 2840 3124 3905 4260 4686 6248 7810 8520 9372 11715 15620 18744 22031 23430 31240 44062 46860 66093 88124 93720 110155 132186 176248 220310 242341 264372 330465 440620 484682 528744 660930 727023 881240 969364 1211705 1321860 1454046 1564201 1938728 2423410 2643720 2908092 3128402 3635115 4692603 4846820 5816184 6256804 7270230 7821005 9385206 9693640 12513608 14540460 15642010 17206211 18770412 23463015 29080920 31284020 34412422 37540824 46926030 51618633 62568040 68824844 86031055 93852060 103237266 137649688 172062110 187704120 206474532 258093165 344124220 412949064 516186330 688248440 1032372660 2064745320